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Finding the Fourth Proportional to 1,291.34, 1,782.05 and 767.42

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Solution

The fourth proportional to 1,291.34, 1,782.05 and 767.42 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.34 : 1,782.05 = 767.42 : x
  2. Step 2: Convert to fraction form
    1,291.34/1,782.05 = 767.42/x
  3. Step 3: Cross multiply
    1,291.34x = 1,782.05 × 767.42
  4. Step 4: Simplify right side
    1,291.34x = 1,367,580.81
  5. Step 5: Solve for x
    x = 1,367,580.81/1,291.34
  6. Step 6: Final answer
    x = 1,059.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.